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Finding the Third Proportional to 65,146 and 97,334

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Solution

The third proportional to 65,146 and 97,334 is: 145,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146 : 97,334 = 97,334 : x
  2. Step 2: Convert to fraction form
    65,146/97,334 = 97,334/x
  3. Step 3: Cross multiply
    65,146x = 97,334 × 97,334
  4. Step 4: Simplify right side
    65,146x = 9,473,907,556
  5. Step 5: Solve for x
    x = 9,473,907,556/65,146
  6. Step 6: Final answer
    x = 145,425.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.